Meshfree Methods
Author (s): Huerta, A., Belytschko, T. Fernández-Méndez, S. and Rabczuk, T.Journal: Encyclopedia of Computational Mechanics
Volume: 1, Chapter 10
Pages: 279 - 309
Date: 2004
Abstract:
The aim of this chapter is to provide an in-depth presentation and survey of meshfree particle methods. Several particle approximations are reviewed; the SPH method, corrected gradient methods and the moving least squares (MLS) approximation. The discrete equations are derived from a collocation scheme or a Galerkin method. Special attention is paid to the treatment of essential boundary conditions. A brief review of radial basis functions is given because they play a significant role in meshfree methods. Finally, different approaches for modelling discontinuities in meshfree methods are described.
Bibtex:
@incollection{AH-HBFR:04,
Author = {Huerta, Antonio and Belytschko, Ted and Fernandez-Mendez, Sonia and Rabczuk, Timon},
Title = {Meshfree {M}ethods},
Booktitle = {Encyclopedia of Computational Mechanics},
Chapter = {10},
Volume = {1 Fundamentals},
Editor = {Erwin Stein and Rene de Borst and Thomas J. R. Hughes},
Pages = {279--309},
Publisher = {John Wiley \& Sons, Ltd.},
Address = {Chichester},
Year = {2004},
Doi={10.1002/0470091355.ecm005},
Url={https://onlinelibrary.wiley.com/doi/pdf/10.1002/0470091355.ecm005}
}
